BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Compactifications of (locally) symmetric spaces and ideal Poisson 
 Voronoi tesselations [MPIM]
DTSTART:20260528T113000Z
DTEND:20260528T130000Z
DTSTAMP:20260716T195500Z
UID:indico-event-1343@math-events.uni-bonn.de
DESCRIPTION:Speakers: Anna Wienhard (MPI Leipzig)\n\nOberseminar Different
 ialgeometrie\n \nThe Poisson--Voronoi percolation model can be defined on
  any metric measured space as follows. \n \nSample a random discrete set
  of points according to a Poisson point process of intensity $\\lambda>0$\
 , divide the space into the corresponding\nVoronoi cells\, color the cell
 s black independently with probability $p\\in(0\,1)$ and consider the uni
 on of black cells. This model has been widely studied in Euclidean space a
 nd also beyond\, notably in the hyperbolic plane by Benjamini and Schramm
  (2001). In this talk\, we will discuss a new phenomenon for higher rank 
 symmetric spaces. We will show an application of this result to a question
  of Hutchcroft and Pete (2020) and Pete and Rokob (2025)\, and its close
  connection to Gaboriau's fixed price problem. In the final part of the t
 alk\, we will explain the strategy of proof and in particular the way in w
 hich our approach builds on recent results about ideal Poisson--Voronoi t
 essellations and a breakthrough of Frączyk\, Mellick and Wilkens (2025
 ). Based on joint works with Jan Grebík and with Matteo D'Achille\, Jan 
 Grebík\, Ali Khezeli\, Amanda Wilkens.\n\n\nhttps://math-events.uni-bonn.
 de/event/1343/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1343/
END:VEVENT
END:VCALENDAR